Search a number
-
+
22325513013 = 3213718106661
BaseRepresentation
bin10100110010101101…
…000100101100110101
32010121220101120101100
4110302231010230311
5331210312404023
614131201120313
71420150505136
oct246255045465
963556346340
1022325513013
119517196401
1243b0929099
13214a41363b
14111b0b5c8d
158a9ecbc43
hex532b44b35

22325513013 has 12 divisors (see below), whose sum is σ = 32483351628. Its totient is φ = 14775034560.

The previous prime is 22325512997. The next prime is 22325513051. The reversal of 22325513013 is 31031552322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17783022609 + 4542490404 = 133353^2 + 67398^2 .

It is not a de Polignac number, because 22325513013 - 24 = 22325512997 is a prime.

It is a super-3 number, since 3×223255130133 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22325513813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9052098 + ... + 9054563.

It is an arithmetic number, because the mean of its divisors is an integer number (2706945969).

Almost surely, 222325513013 is an apocalyptic number.

It is an amenable number.

22325513013 is a deficient number, since it is larger than the sum of its proper divisors (10157838615).

22325513013 is a wasteful number, since it uses less digits than its factorization.

22325513013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18106804 (or 18106801 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 22325513013 in words is "twenty-two billion, three hundred twenty-five million, five hundred thirteen thousand, thirteen".

Divisors: 1 3 9 137 411 1233 18106661 54319983 162959949 2480612557 7441837671 22325513013